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Solving an Absolute Value Equation and Inequality.

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Presentation on theme: "Solving an Absolute Value Equation and Inequality."— Presentation transcript:

1 Solving an Absolute Value Equation and Inequality

2 Solving an Absolute Value Equation Solve the following: Isolate the Absolute Value Write a Positive and a Negative Version OR Solve Both

3 Solving an Absolute Value Inequality 0 x x = -5 x = 0 x = ≤ ≤ ≤ -11 TrueFalseTrue Find the BoundaryTest Every Region Solve the following inequality: Change inequality to equality Solve Plot Boundary Point(s) Pick a point in each region Substitute into Original Shade True Region(s) Algebraic Solution Closed or Open Dot(s)? Graphical Solution

4 Writing an inequality as an Absolute Value Inequality Write the following inequalities with an absolute value: 9 x x

5 Square Roots and Absolute Value Evaluate the following expression with the values below: The value is always positive:

6 Square Roots and Absolute Value Solve the following for y:

7 Square Roots and Absolute Value Solve the following: OR….


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